476840364 has 288 divisors, whose sum is σ = 1563722496. Its totient is φ = 111121920.

The previous prime is 476840339. The next prime is 476840381. The reversal of 476840364 is 463048674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4456399 + ... + 4456505.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^476840364 is an apocalyptic number.

476840364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476840364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781861248).

476840364 is an abundant number, since it is smaller than the sum of its proper divisors (1086882132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

476840364 is a wasteful number, since it uses less digits than its factorization.

476840364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 476840364 is about 21836.6747468565. The cubic root of 476840364 is about 781.2517507886.

The spelling of 476840364 in words is "four hundred seventy-six million, eight hundred forty thousand, three hundred sixty-four".